Imaging Electron Wave Functions of Quantized Energy Levels in Carbon Nanotubes

Abstract

Carbon nanotubes provide a unique system to study one-dimensional quantization phenomena. Scanning tunneling microscopy is used to observe the electronic wave functions that correspond to quantized energy levels in short metallic carbon nanotubes. Discrete electron waves are apparent from periodic oscillations in the differential conductance as a function of the position along the tube axis, with a period that differs from that of the atomic lattice. Wave functions can be observed for several electron states at adjacent discrete energies. The measured wavelengths are in good agreement with the calculated Fermi wavelength for armchair nanotubes.

11 pages, 4 figures in seperate PDF file

Cited by in corpus (52)

• Ab-initio structural, elastic, and vibrational properties of carbon nanotubes
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Superconductivity in Ropes of Single-Walled Carbon Nanotubes
• Contact resistance between carbon nanotubes
• van der Waals interaction in nanotube bundles : consequences on vibrational modes
• Detailed analysis of the mean diameter and diameter distribution of single wall carbon nanotubes from their optical response
• Electronic Structure of Carbon Nanotube Ropes
• Noise of a Quantum-Dot System in the Cotunneling Regime
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Imaging and spectroscopy of artificial-atom states in core/shell nanocrystal quantum dots
• Bolometric detection of mechanical bending waves in suspended carbon nanotubes
• Subband population in a single-wall carbon nanotube diode
• Imaging the Wigner Crystal of Electrons in One Dimension
• Coherent electron-phonon coupling and polaron-like transport in molecular wires
• Electronic and optical properties of graphene nanoribbons in external fields
• Spin effects in single electron tunneling
• Quantum transport through carbon nanotubes: proximity induced and intrinsic superconductivity
• Non-local spectroscopy of Andreev bound states
• Band alignment of two-dimensional lateral heterostructures
• Resonant tunneling of interacting electrons in a one-dimensional wire
• One-Dimensional Energy Dispersion of Single-Walled Carbon Nanotubes by Resonant Electron Scattering
• Quantum transport properties of ultrathin silver nanowires
• Broken Symmetries in Scanning Tunneling Images of Carbon Nanotubes
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Experimental imaging and atomistic modeling of electron and hole quasiparticle wave functions in InAs/GaAs quantum dots
• Universality of electron correlations in conducting carbon nanotubes
• Quantum Interference Effects in Electronic Transport through Nanotube Contacts
• Resonant Andreev reflections in superconductor-carbon-nanotube devices
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• A Luttinger Liquid in Box
• Degeneracy breaking and intervalley scattering due to short-ranged impurities in finite single-wall carbon nanotubes
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Broken Symmetry, Boundary Conditions, and Band Gap Oscillations in Finite Single Wall Nanotubes
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Valley coupling in finite-length metallic single-wall carbon nanotubes
• Defect-induced multicomponent electron scattering in single-walled carbon nanotubes
• Magnetoelectronic and optical properties of nonuniform graphene nanoribbons
• Lattice defects and boundaries in conducting carbon nanotubes
• Proposed alteration of images of molecular orbitals obtained using a scanning tunnelling microscope as a probe of electron correlation
• Hot electrons injection in carbon nanotubes under the influence of quasi-static ac-field
• Landau quantization in buckled monolayer GaAs
• High Frequency Conductivity of Hot Electrons in Carbon Nanotubes
• Low-energy local density of states of the 1D Hubbard model
• Imaging the symmetry breaking of molecular orbitals in carbon nanotubes
• Contact phenomena in carbon nanotubes
• Coupled study by TEM/EELS and STM/STS of electronic properties of C- and CNx-nanotubes
• Electronic spectral shift of oxygen-filled (6,6) carbon nanotubes
• Directional photoelectric current across the bilayer graphene junction
• Static and dynamic image potential for tunneling into a Luttinger liquid
• Pseudo-spin-dependent scattering in carbon nanotubes
• Electronic and optical properties of stacking-configuration-modulated bilayer graphene in electric and magnetic fields